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Finding the Fourth Proportional to 278.11, 383.53 and 225.64

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Solution

The fourth proportional to 278.11, 383.53 and 225.64 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 383.53 = 225.64 : x
  2. Step 2: Convert to fraction form
    278.11/383.53 = 225.64/x
  3. Step 3: Cross multiply
    278.11x = 383.53 × 225.64
  4. Step 4: Simplify right side
    278.11x = 86,539.71
  5. Step 5: Solve for x
    x = 86,539.71/278.11
  6. Step 6: Final answer
    x = 311.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.